McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
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Exercise 29 Page 704

Start by identifying the hypotenuse of the right triangle. Then find the sides that are opposite and adjacent to ∠ A.

5/12≈ 0.42

Practice makes perfect
For the given right triangle, we want to write the ratio for the tangent of ∠ A. Let's start by identifying the hypotenuse of the triangle and the sides that are opposite and adjacent to ∠ A.
We see that the length of the hypotenuse is 26. The length of the side adjacent to ∠ A is 24 and the length of the side opposite to ∠ A is 10. With this information, we can find the desired ratio.
tanA=opposite/adjacent
tanA=10/24
tanA=5/12
tanA=0.41666...
tanA≈ 0.42